发表机构
Instituto de Telecomunicações; Sorbonne Université, CNRS, LIP6（电信研究所; 索邦大学，法国国家科学研究中心，LIP6实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明非局域博弈（确定性谓词）不能完整见证贝尔非局域性，存在量子可实现的非局域行为不违反任何此类博弈，且该现象在$X,Y\geq2$、$A,B\geq4$的二分场景中普遍存在。
AI 中文摘要
非局域博弈为推理贝尔非局域性提供了一种概念上清晰的方式。然而，我们表明，按照最初的定义和最常用的形式，即具有确定性谓词时，它们不能成为非局域性的完整见证。具体来说，我们证明了存在不违反任何此类非局域博弈的非局域行为。此外，我们还表明量子力学可以产生这些博弈经典的非局域行为。我们证明这一现象存在于每一个二分场景$(X,Y,A,B)$中，其中$X,Y\geq2$且$A,B\geq4$。
英文摘要
Nonlocal games offer a conceptually clear way to reason about Bell nonlocality. However, we show that as originally defined, and most commonly used, i.e. with a deterministic predicate, they cannot be complete witnesses of nonlocality. Concretely, we prove the existence of nonlocal behaviours which do not violate any such nonlocal game. Furthermore, we also show that quantum mechanics can produce these game-classical nonlocal behaviours. We prove that this phenomenon exists in every bipartite scenario $(X,Y,A,B)$ with $X,Y\geq2$ and $A,B\geq4$.
Comments17 pages, 1 figure
